ENGR 3324: Signals and Systems
Ch6
Continuous-Time Signal Analysis
Engineering and Physics
University of Central Oklahoma
Dr. Mohamed Bingabr
Outline
Introduction
Fourier Series (FS) representation of
Periodic Signals.
Trigonometric and Exponential For
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MICROSOFT AZURE
MICROSOFT
ARDUINO SPARKFUN THING SETUP
SETUP BOARD MANAGER FOR SPARKFUN
To begin, youll need to point the Arduino IDE board manager to a custom URL. Open up Arduino,
then go to the Preferences (File > Preferenc
Table 15.4-1 The Fourier Series of Selected Waveforms.
Function
Trigonometric Fourier Series
2
T
Square wave: 0 =
A 4 A sin ( ( 2n 1) 0 t )
+
2 n =1
2n 1
f (t ) =
2
T
n d
sin
Ad 2 Ad
T cos n t
f (t ) =
+
0
2
n =1 n d
T
Pulse wave: 0 =
(
Half wave rec
Solutions to the Exercises
Chapter 1
Solution 1.1
(a) Your computer may be programmed to allocate borderline cases to the
next group down, or the next group up; and it may or may not manage
to follow this rule consistently, depending on its handling of th
Section 2.2 Axioms and rules of probability
Here and elsewhere we shall not obtain the best insight into things until we actually see
them growing from the beginning
Aristotle, from the work Politics
Axioms of probability
A mathematically rigorous study o
Section 3.4 Families of Discrete Distributions
All models are wrong, but some are useful.
George Box, statistician
Some probability distributions occur frequently enough that we can study the
distribution itself and later use it to model a situation.
Here
Section 2.4 Conditional Probability
If people do not believe that mathematics is simple, it is only because they do not
realize how complicated life is.
John Louis von Neumann
Definition and formula
The conditional probability of event given event is the
Sections 3.1 - 3.3 Random Variables
Go down deep enough into anything and you will find mathematics.
Dean Schlicter
The Definition of a Random Variable
A random variable is a function of an outcome:
Domain:
Range may be:
Finite
Infinite and countable
Unco
Section 2.3 Combinatorics
I present here without the aid of analysis the principles and general results of this
theory [probability], applying them to the most important questions of life, which are
indeed for the most part only problems of probability.
P
Section 1.1 - 1.2
We balance probabilities and choose the most likely. It is the scientific use of the
imagination.
Sherlock Holmes, The Hound of the Baskervilles
Uncertainty
We make decisions in everyday life in the midst of uncertainty. For example,
Wil
Section 2.1 Events as sets
The whole of science is nothing more than a refinement of everyday thinking.
Albert Einstein, from the essay Physics and Reality
Three interpretations of probability (and statistics)
I.
We have an intuitive idea of probability a
Take-Home Quiz 1
First Name
CS/SE/STAT 3341
Last Name
501 Fall 2016
NetID
1. Print this document and write your information above.
2. Complete the problems. You must show your work and write neatly for credit.
3. Turn this in using one of two ways:
At off
Take-Home Quiz 2
CS/SE/STAT 3341
First Name
Last Name
501 Fall 2016
NetID
1. Print this document and write your information above.
2. Complete the problems. You must show your work and write neatly for credit.
3. Show your work using proper probability an